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Finding the Fourth Proportional to 432,590.20, 648,933.90 and 133,068.40

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Solution

The fourth proportional to 432,590.20, 648,933.90 and 133,068.40 is: 199,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,590.20 : 648,933.90 = 133,068.40 : x
  2. Step 2: Convert to fraction form
    432,590.20/648,933.90 = 133,068.40/x
  3. Step 3: Cross multiply
    432,590.20x = 648,933.90 × 133,068.40
  4. Step 4: Simplify right side
    432,590.20x = 86,352,595,778.76
  5. Step 5: Solve for x
    x = 86,352,595,778.76/432,590.20
  6. Step 6: Final answer
    x = 199,617.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.